In this paper we develop explicit and semi-implicit second-order high-resolution finite difference schemes for a structured coagulation-fragmentation model formulated on the space of Radon measures. We prove the convergence of each of the two schemes to the unique weak solution of the model. We perform numerical simulations to demonstrate that the second order accuracy is achieved by both schemes.

翻译：本文的研究对象是在一维射线测度空间下建立的大小结构凝聚-破碎模型，在此基础上，本文提出了显式和半隐式高阶有限差分格式。我们证明了两种格式的收敛性，并通过数值模拟证明了它们的二阶精度。